Density can be defined as the mass of an object per unit of its volume. This implies that mass and volume are the elements of an object’s density. Mass is the total amount of material an object contain while volume is the total space that that object occupies. The SI units of measuring density, mass and volume are g/cm3, g, and cm respectively. The units of density can be obtained through an analysis known as the dimension analysis. Density is considered intrinsic since it is independent of the material quantity. (Stephen)
(Stephen)
PRE-LAB QUESTIONS SOLUTIONS
1. Given a mass of metal measured of 16 g, and placed into a 21 mL water leveled graduated cylinder to which the level rose to 28 mL, the density of the metal was found as:
2. Given a measured box of dimensions 3.5 cm deep, 21 cm long, 2.4 cm high, the volume of the liquid in the box in quartz was determined as:
RESULTS ANALYSIS
PART ONE
A: Determining Density Graphically
Table 1: Data of mass and volume for the 12 rods
Mass (g)
Volume (mL)
11.45
8
9.465
9
14.34
10
11.63
11
17.14
12
13.55
12
13.58
13
15.61
14
22.58
15
17.59
16
25.34
17
19.77
18
Figure 1: The graph of Mass (g) Vs. Volume (mL)
B: Density as an Intrinsic Property
Table 2: Dimensional data values for different colored cylinders
Cylinders
Height
Width
Length
Volume
Mass
Density
Yellow
1
1.57 cm
1.57cm
2.3 cm
5.67 cm3
5.45 g
0.96 g/cm3
2
1.57cm
1.57cm
3.9 cm
9.61 cm 3
9.04 g
0.94 g/cm3
3
1.57cm
1.57cm
5.3 cm
13.1 cm 3
12.5 g
0.95 g/cm3
4
1.57cm
1.57cm
6.7 cm
16.5 cm3
15.8 g
0.96 g/cm3
Gray
1
1.57cm
1.57cm
2.3 cm
5.67 cm3
7.41 g
1.31 g/cm3
2
1.57cm
1.57cm
3.9 cm
9.61 cm 3
12.36 g
1.29 g/cm3
3
1.57cm
1.57cm
5.3 cm
13.1 cm3
16.85 g
1.29 g/cm3
4
1.57cm
1.57cm
6.7 cm
16.5 cm3
21.27 g
1.29 g/cm3
White
1
1.57cm
1.57cm
2.3 cm
5.67 cm3
10.01 g
1.77 g/cm3
2
1.57cm
1.57cm
3.9 cm
9.61 cm 3
16.51 g
1.72 g/cm3
3
1.57cm
1.57cm
5.3 cm
13.1 cm3
22.76 g
1.74 g/cm3
4
1.57cm
1.57cm
6.7 cm
16.5 cm3
28.90 g
1.75 g/cm3
PART TWO
B: Cubes and Squares in Dimensional Analysis
Table 3: Dimensional Data values of the box and die
The item
Height
Width
Length
Volume in3
Volume in
The Box
9.7 in
2.0 in
7.0 in
2225.76
The Die
0.5 in
0.5 in
0.5 in
2.049
Volume of the box
Volume of the Die
If one die had a volume of 2.049 cm3, the number of dice that would fit in the box was calculated as:
DISCUSSION
From the graph of mass against volume in figure 1 above of part 1 A, it was observed that there was no specific trend observed between the mass and the volume of the rods. When the line of best fit was fitted on the plots, a positive gradient was obtained, and the density of the rods obtained graphically as 1.2412 g/ mL. This result proves that the densities of the metal rods from the same material were not affected by the change in the mass or volume of the individual rods. For the part 1 B, the densities of the different colored cylinders were different, and those from the same colored cylinders were approximately similar. This is because the different colored cylinders had different material and different materials possess different densities. The white colored cylinders had the highest density while the yellow colored cylinders had the lowest density hence the lightest. For the same colored cylinders, the approximately similar densities implied that they were from the same material. Therefore the density of materials can be said to be intrinsic.
CONCLUSION
In conclusion, it was observed that variations in volume and the mass of objects from the same material does not affect their density. On the other hand, different materials have different densities.
Works Cited
Stephen, Lower. 2.4: Density and its Applications. 2 August 2018. 12 September 2018. .
